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<!DOCTYPE html>
<html data-require="math graphie graphie-helpers angles">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Vertical angles</title>
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
</head>
<body>
<div class="exercise">
<div class="vars">
<var id="ANCHOR">randRange( 20, 160 )</var>
<var id="KNOWN_INDEX, UNKNOWN_INDEX">shuffle( randFromArray( [ [ 2, 4 ], [ 3, 5 ] ] ) )</var>
<var id="MEASURE">KNOWN_INDEX % 2 === 0 ? ANCHOR : 180 - ANCHOR</var>
<var id="PINK_ANGLE">$._("pink angle")</var>
<var id="GREEN_ANGLE">$._("green angle")</var>
</div>
<div class="problems">
<div>
<p class="question">
If we know that the <span class="hint_blue">blue angle is <code><var>MEASURE</var>^\circ</code></span>,
what is the measure of <span class="hint_green">angle <code>x</code></span>?</p>
<p class="render-answer-area-here"></p>
<div class="solution" data-type="multiple">
<span class="sol" data-forms="integer"><var>MEASURE</var></span> <code>\Large{^\circ}</code>
</div>
<div class="graphie" id="lines">
init({
range: [[-4, 4], [-1, 1]],
scale: 60
});
graph.pl = new ParallelLines(0, 0, 4, 0, 0);
graph.pl.draw();
graph.pl.drawTransverse(ANCHOR);
graph.pl.drawAngle(KNOWN_INDEX, true);
graph.pl.drawAngle(UNKNOWN_INDEX, "x", GREEN);
</div>
</div>
</div>
<div class="hints">
<div>
<p>What is the measure of the pink angle?</p>
<div class="graphie" data-update="lines">
graph.pl.drawAngle(KNOWN_INDEX + 1, false, PINK);
</div>
</div>
<div>
<p>The pink and blue angles add up to <code>180^\circ</code> because they are adjacent and form a straight line.</p>
<p><code>
\pink{\text{<var>PINK_ANGLE</var>}} = 180^{\circ} - \blue{<var>MEASURE</var>^{\circ}} = \green{<var>180 - MEASURE</var>^{\circ}}
</code></p>
<div class="graphie" data-update="lines">
graph.pl.drawAngle(KNOWN_INDEX + 1, true, PINK);
</div>
</div>
<div>
<p>The pink and green angles also add up to <code>180^\circ</code> because they are adjacent and form a straight line too.</p>
<p><code>
\green{\text{<var>GREEN_ANGLE</var>}}= 180^{\circ} - \pink{<var>180 - MEASURE</var>^{\circ}} = \green{<var>MEASURE</var>^{\circ}}</code></p>
<div class="graphie" data-update="lines">
graph.pl.drawAngle(UNKNOWN_INDEX, true, GREEN);
</div>
</div>
</div>
</div>
</body>
</html>
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